The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 28-727
Full Name: Wei Dong
Position: Professor
Age: ON
Sex: Male
Address: 199 South Guangming Street Hebei University of Engineering, Handan
Country: CHINA
Tel: 86-310-3123696
Tel prefix: 86-310-8579711
Fax: 86-310-6025698
E-mail address: wdongau@yahoo.com.cn
Other E-mails: dangchhua@yahoo.com.cn
Title of the Paper: Uniqueness of Positive Solutions For Neumann Problems in Unbounded Domain
Authors as they appear in the Paper: wei Dong, Nianpeng Wang, Chenghua Dang
Email addresses of all the authors: wdongau@yahoo.com.cn, wangnianpeng@yahoo.com.cn, dangchhua@yahoo.com.cn
Number of paper pages: 10
Abstract: Abstract: In this paper, we consider the existence and uniqueness positive solutions of the boundary Neumann problem. We show that under rather general conditions on the coefficients and more general nonlinearity, the above problems possesses a minimal positive solution and a maximal positive solution, respectively, Moreover, we first establish a relationship between the above problem and the problem in whole space. We obtain a comparison principal which our proof of the existence results rely essentially on. and make use of a rather intuitive squeezing method to get the existence theorems. Furthermore, by analyzing the behavior of the positive solution for the problem in whole space, we show the boundary Neumann problem in half space has only one positive solution. Our results improve the previous works.
Keywords: Sub-super solution, Neumann problem, Comparison principle, positive solution, squeezing method
EXTENSION of the file: .pdf
Special (Invited) Session: Existence And Uniqueness of Positive Solutions For Neumann Problems in a Half Space
Organizer of the Session: 604-244
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